Abstract
Ion-core interactions between nearest neighbors in copper are approximated by a Born-Mayer potential E c − c = α exp ρ[ (r O−r) r O ] . Experimental values of cohesive energy, lattice parameter and compressibility are used to determine the parameters in the Born-Mayer potential. Thus we are using all the volume dependent terms in the interaction energy rather than just the Fermi energy which has been used in earlier calculations. Also we avoid the use of shear constants which were used in earlier calculations since there is a lot of uncertainty in them. Our results for α and ρ are 0.0958 eV and 13.34 respectively. At short distances our potential is in good agreement with the most commonly used potential due to Huntington ( α = 0.053 eV and ρ = 13.9) whereas it is somewhat harder than a potential based on Thomas-Fermi-Dirac approximation. We compare some results on the basis of our potential with the experiment and the agreement is quite good.
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